Chapter 9.1, Problem 42E

(a)

To determine

To graph: The sketch of housing starts versus time from the beginning of $2009$ through the end of June $2011$ by the use of technology if the number of housing started is given as $s\left(t\right)=10.2\sin \left(0.537t-1.46\right)+47.6$ thousands housing starts per month $\left(0\le t\le 30\right)$. Also, estimate the value of t and the months during which housing starts were lowest and highest.

(b)

To determine

The maximum and minimum number of housing started if the number of housing started is given as $s\left(t\right)=10.2\sin \left(0.537t-1.46\right)+47.6$ thousands housing starts per month $\left(0\le t\le 30\right)$.

(c)

To determine

To calculate: The maximum and minimum number of housing starts directly from the equation $s\left(t\right)=10.2\sin \left(0.537t-1.46\right)+47.6$ thousands housing starts per month $\left(0\le t\le 30\right)$.